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Comma pump examples

Edit 0 32 …

3-limit pumps


256/243 (blackwood)


battaglia-blackwood

5-limit pumps


81/80 (meantone)


These are very familiar from classical and popular music. See Meantone comma pump examples.

128/125 (augmented)


See 12edo comma pump examples.

250/243 (porcupine)


parizek2

2048/2025 (diaschismic)


parizek1

Also see 12edo comma pump examples.

3125/3072 (magic)


parizek4

15625/15552 (hanson)


parizek6

battaglia-hanson

16875/16384 (negri)


parizek3

20000/19683 (tetracot)


parizek7

78732/78125 (sensi)


parizek5

pump78732

1600000/1594323 (amity)


amity

tetradic pump

2109375/2097152 (semicomma, 5-limit orwell)


semicomma

7-limit examples


126/125 (starling)


pump126

1
 5/4
 3/2
 7/4
 ~
 125/126
 625/504
 125/84
 125/72
21/20
 21/16
 3/2
 7/4
 ~
 25/24
 125/96
 125/84
 125/72
21/20
 6/5
 3/2
 9/5
 ~
 25/24
 25/21
 125/84
 25/14
36/35
 6/5
 36/25
 9/5
 ~
 50/49
 25/21
 10/7
 25/14
27/25
 63/50
 36/25
 9/5
 ~
 15/14
 5/4
 10/7
 25/14
126/125
 63/50
 189/125
 441/250
 ~
 1
 5/4
 3/2
 7/4
1
 5/4
 3/2
 7/4
 ~
 125/126
 625/504
 125/84
 125/72
21/20
 6/5
 3/2
 9/5
 ~
 25/24
 25/21
 125/84
 25/14
27/25
 63/50
 36/25
 9/5
 ~
 15/14
 5/4
 10/7
 25/14
126/125
 63/50
 189/125
 441/250
 ~
 1
 5/4
 3/2
 7/4

225/224 (marvel)


pump225

1
 5/4
 3/2
 7/4
 ~
 225/224
 1125/896
 675/448
 225/128
1
 7/6
 7/5
 7/4
 ~
 225/224
 75/64
 45/32
 225/128
14/15
 7/6
 7/5
 49/30
 ~
 15/16
 75/64
 45/32
 105/64
14/15
 7/6
 4/3
 14/9
 ~
 15/16
 75/64
 75/56
 25/16
14/15
 49/45
 56/45
 14/9
 ~
 15/16
 35/32
 5/4
 25/16
14/15
 16/15
 56/45
 112/75
 ~
 15/16
 15/14
 5/4
 3/2
224/225
 56/45
 112/75
 392/225
 ~
 1
 5/4
 3/2
 7/4
1
 5/4
 3/2
 7/4
 ~
 225/224
 1125/896
 675/448
 225/128
1
 7/6
 7/5
 7/4
 ~
 225/224
 75/64
 45/32
 225/128
14/15
 7/6
 4/3
 14/9
 ~
 15/16
 75/64
 75/56
 25/16
14/15
 16/15
 56/45
 112/75
 ~
 15/16
 15/14
 5/4
 3/2
224/225
 56/45
 112/75
 392/225
 ~
 1
 5/4
 3/2
 7/4

245/243 (sensamagic)


pump245


1
 5/4
 3/2
 7/4
 ~
 245/243
 1225/972
 245/162
 1715/972
15/14
 9/7
 3/2
 12/7
 ~
 175/162
 35/27
 245/162
 140/81
27/28
 9/8
 9/7
 45/28
 ~
 35/36
 245/216
 35/27
 175/108
27/28
 54/49
 135/98
 81/49
 ~
 35/36
 10/9
 25/18
 5/3
405/392
 243/196
 81/56
 81/49
 ~
 25/24
 5/4
 35/24
 5/3
243/245
 243/196
 729/490
 243/140
 ~
 1
 5/4
 3/2
 7/4
1
 5/4
 3/2
 7/4
 ~
 245/243
 1225/972
 245/162
 1715/972
27/28
 9/8
 9/7
 45/28
 ~
 35/36
 245/216
 35/27
 175/108
405/392
 243/196
 81/56
 81/49
 ~
 25/24
 5/4
 35/24
 5/3
243/245
 243/196
 729/490
 243/140
 ~
 1
 5/4
 3/2
 7/4

1-5/4-3/2-7/4
15/14-9/7-3/2-12/7
27/28-9/8-9/7-45/28
27/28-54/49-135/98-81/49
405/392-243/196-81/56-81/49
243/245-243/196-729/490-243/140
1-5/4-3/2-7/4
27/28-9/8-9/7-45/28
405/392-243/196-81/56-81/49
243/245-243/196-729/490-243/140

686/675 (sengic)


pump686

875/864 (keemic)


pump875

1029/1024 (gamelismic)


pump1029

1-5/4-3/2-7/4
1-5/4-10/7-5/3
1-8/7-10/7-12/7
20/21-8/7-10/7-80/49
48/49-8/7-64/49-80/49
48/49-384/343-64/49-384/245
384/343-64/49-512/343-640/343
256/245-64/49-512/343-256/147
1024/1029-1280/1029-512/343-256/147
1-5/4-3/2-7/4
1-8/7-10/7-12/7
48/49-8/7-64/49-80/49
384/343-64/49-512/343-640/343
1024/1029-1280/1029-512/343-256/147

1728/1715 (orwellismic)


pump1728

1-5/4-3/2-7/4
1-7/6-7/5-7/4
49/48-7/6-35/24-7/4
49/48-7/6-49/36-49/30
49/48-343/288-49/36-245/144
343/288-49/36-343/216-343/180
1715/1728-343/288-2401/1728-343/216
1715/1728-343/288-1715/1152-245/144
1715/1728-8575/6912-1715/1152-12005/6912
1-5/4-3/2-7/4
49/48-7/6-35/24-7/4
49/48-343/288-49/36-245/144
1715/1728-343/288-2401/1728-343/216
1715/1728-8575/6912-1715/1152-12005/6912

2401/2400 (breed)


pump2401

1-5/4-3/2-7/4
21/20-21/16-3/2-7/4
21/20-49/40-7/5-7/4
49/48-49/40-49/32-7/4
343/320-49/40-49/32-147/80
343/320-1029/800-1029/640-147/80
343/320-1029/800-2401/1600-343/200
343/320-2401/1920-2401/1600-2401/1280
7203/6400-16807/12800-2401/1600-2401/1280
16807/16000-16807/12800-2401/1600-16807/9600
2401/2400-2401/1920-2401/1600-16807/9600
1-5/4-3/2-7/4 21/20-49/40-7/5-7/4
343/320-49/40-49/32-147/80
2401/1600-343/200-343/160-1029/400
7203/6400-16807/12800-2401/1600-2401/1280
2401/2400-2401/1920-2401/1600-16807/9600

3125/3087 (gariboh)


pump3125

3136/3125 (hemimean)


pump3136

1-5/4-3/2-7/4
1-7/6-7/5-7/4
1-6/5-7/5-8/5
14/15,28/25-7/5-8/5
49/50-28/25-7/5-42/25
24/25-28/25-168/125-42/25
28/25-168/125-196/125-224/125
147/125-168/125-196/125-1176/625
686/625-784/625-196/125-1176/625
672/625-784/625-4704/3125-1176/625
3136/3125-784/625-4704/3125-5488/3125
1-5/4-3/2-7/4
1-6/5-7/5-8/5
28/25-7/5-42/25-49/25
28/25-168/125-196/125-224/125
686/625-784/625-196/125-1176/625
3136/3125-784/625-4704/3125-5488/3125

4000/3969 (octagar)


pump4000

1-5/4-3/2-7/4
1-5/4-10/7-5/3
15/14-5/4-10/7-25/14
1-5/4-10/7-5/3
20/21-25/21-10/7-5/3
50/49-25/21-10/7-25/14
50/49-25/21-200/147-250/147
1000/1029-500/441-200/147-250/147
500/441-200/147-100/63-800/441
125/126-500/441-250/189-100/63
500/441-250/189-2000/1323-2500/1323
200/189-250/189-2000/1323-1000/567
4000/3969-5000/3969-2000/1323-1000/567
1-5/4-3/2-7/4
15/14-5/4-10/7-25/14
20/21-25/21-10/7-5/3
50/49-25/21-200/147-250/147
500/441-200/147-100/63-800/441
500/441-250/189-2000/1323-2500/1323
4000/3969-5000/3969-2000/1323-1000/567

4375/4374 (ragismic)


pump4375

1-5/4-3/2-7/4
1-5/4-10/7-5/3
25/24-5/4-35/24-5/3
35/36-7/6-35/24-5/3
35/36-10/9-25/18-5/3
35/36-175/144-25/18-175/108
25/27-125/108-25/18-175/108
25/27-175/162-35/27-175/108
175/162-875/648-175/108-1225/648 ~ 27/25-27/20-81/50-189/100
175/162-875/648-125/81-875/486 ~ 27/25-27/20-54/35-9/5
4375/3888-875/648-6125/3888-875/486 ~ 9/8-27/20-63/40-9/5
4375/3888-625/486-4375/2916-875/486 ~ 9/8-9/7-3/2-9/5
6125/5832-875/729-4375/2916-875/486 ~ 21/20-6/5-3/2-9/5
4375/4374-875/729-4375/2916-1250/729 ~ 1-6/5-3/2-12/7
4375/4374-21875/17496-4375/2916-30625/17496 ~ 1-5/4-3/2-7/4
1-5/4-3/2-7/4
25/24-5/4-35/24-5/3
35/36-10/9-25/18-5/3
25/27-125/108-25/18-175/108
175/162-875/648-175/108-1225/648 ~ 27/25-27/20-81/50-189/100
4375/3888-875/648-6125/3888-875/486 ~ 9/8-27/20-63/40-9/5
6125/5832-875/729-4375/2916-875/486 ~ 21/20-6/5-3/2-9/5
4375/4374-21875/17496-4375/2916-30625/17496 ~ 1-5/4-3/2-7/4

5120/5103 (hemifamity)


pump5120

1-5/4-3/2-7/4
35/32-5/4-35/24-7/4
25/24-5/4-35/24-5/3
25/24-25/21-25/18-5/3
35/36-10/9-25/18-5/3
20/21-10/9-4/3-5/3
20/21-10/9-80/63-100/63
400/441-200/189-80/63-100/63
200/189-80/63-40/27-320/189
80/81-32/27-40/27-320/189
80/81-640/567-800/567-320/189
80/81-640/567-320/243-128/81
1600/1701-640/567-320/243-2560/1701
256/243-320/243-2560/1701-1280/729
5120/5103-6400/5103-2560/1701-1280/729
1-5/4-3/2-7/4
25/24-5/4-35/24-5/3
35/36-10/9-25/18-5/3
20/21-10/9-80/63-100/63
200/189-80/63-40/27-320/189
80/81-640/567-800/567-320/189
1600/1701-640/567-320/243-2560/1701
256/243-320/243-2560/1701-1280/729
5120/5103-6400/5103-2560/1701-1280/729

6144/6125 (porwell)


pump6144

1-5/4-3/2-7/4
35/32-5/4-35/24-7/4
35/32-5/4-25/16-15/8
35/32-21/16-105/64-15/8
35/32-175/128-105/64-245/128
525/512-175/128-75/64-105/64
525/512-1225/1024-175/128-875/512
6125/6144-1225/1024-6125/4096-875/512
8575/8192-1225/1024-6125/4096-3675/2048
18375/16384-2625/2048-6125/4096-3675/2048
18375/16384-42875/32768-6125/4096-30625/16384
4375/4096-30625/24576-6125/4096-30625/16384
6125/6144-30625/24576-6125/4096-42875/24576
1-5/4-3/2-7/4
35/32-5/4-25/16-15/8
35/32-175/128-105/64-245/128
525/512-1225/1024-175/128-875/512
8575/8192-1225/1024-6125/4096-3675/2048
18375/16384-42875/32768-6125/4096-30625/16384
6125/6144-30625/24576-6125/4096-42875/24576

10976/10935 (hemimage)


pump10976

64827/64000 (squalentine)


pump64827

13-limit examples


676/675 (parizeksmic)


http://micro.soonlabel.com/petr_parizek/pp_pump_675.mp3